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robousy
Apr4-08, 01:50 AM
Hey folks,

I'm reading a paper by Sean Carroll (http://arxiv.org/PS_cache/arxiv/pdf/0802/0802.0521v1.pdf).

In the paper he refers to a Lorentz violating background

u^a=(0,0,0,0,v)


S=M_*\int d^5x \sqrt{g} \left[-\frac{1}{4}(\nabla_a u_b -\nabla_b u_a)(\nabla^a u^b -\nabla^b u^a)-\lambda(u_au^a-v^2)+\sum_{i=1}^{2} \mathcal{L}_i\right].



Can anyone interpret this action?? Also, can anyone explain why the field is Lorentz invariant??

Thanks in advance.